Scientific seminar “The Cauchy–Gelfand problem and the inverse problem for a first-order quasilinear equation”
13 September at 12:00 MSK
We consider the problem posed by Gelfand on the asymptotics in time of the solution of the Cauchy problem for a first-order quasilinear equation with Riemann-type initial conditions. Based on the method of vanishing viscosity with uniform estimates, exact asymptotics in the Cauchy-Gelfand problem are obtained without a priori assumption of monotonicity of the initial data. The initial data parameters responsible for the localization of shock waves are described.
Prof. Shananin Alexander Alekseevich, academician of the Russian Academy of Sciences. MIPT, Moscow, RUDN, Moscow.